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Mathematics 14 Online
OpenStudy (lifeisadangerousgame):

Hello, could someone help with differential equations?

OpenStudy (lifeisadangerousgame):

This is the equation: \[2y'' - y' + \frac{ 1 }{ 2 }y = \frac{ 5 }{ 2 }x^{2}\] Our answer is A = 5, B = -36, and C = 54 Is that right?

OpenStudy (lifeisadangerousgame):

Ugh the problem stopped. The rest of the original equation is 5/2x^2 - 8x + 11

zepdrix (zepdrix):

A B and C? Whu? :d

OpenStudy (lifeisadangerousgame):

one sec

OpenStudy (lifeisadangerousgame):

y = ax^2 + bx + c; y' = 2ax + 6; y'' = 2a

zepdrix (zepdrix):

Oh so you mean the form that the particular solution will take on,\[\large\rm y=ax^2+bx+c\]\[\large\rm y'=2ax+b\]\[\large\rm y''=2a\]Yes, that seems right. Did you already find the homogeneous solution to your differential equation?\[\large\rm 2y''-y'+\frac12y=0\]

zepdrix (zepdrix):

Oh noessss :O Where'd you go? Confused?

zepdrix (zepdrix):

:p

OpenStudy (518nad):

k go on and add homogenous soln to ur particular

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